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Walsh, David (2000) A property of univalent functions in Ap. Glasgow Mathematical Journal, 42 (1). pp. 121-124. ISSN 0017-0895
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Abstract
The univalent functions in the diagonal Besov space Ap, where 1 < p < oo, are characterized in terms of the distance from the boundary of a point in the image domain. Here A2 is the Dirichlet space. A consequence is that there exist functions in Ap , p > 2, for which the area of the complement of the image of the unit disc is zero.
| Item Type: | Article |
|---|---|
| Keywords: | property; univalent functions; Ap; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 14717 |
| Depositing User: | Dr. David Walsh |
| Date Deposited: | 25 Aug 2021 08:33 |
| Journal or Publication Title: | Glasgow Mathematical Journal |
| Publisher: | Cambridge University Press |
| Refereed: | Yes |
| Related URLs: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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